Common fixed point theorems for auxiliary functions with applications in fractional differential equation

Autor:	Ben Wongsaijai, Phakdi Charoensawan, Teeranush Suebcharoen, Watchareepan Atiponrat
Jazyk:	angličtina
Rok vydání:	2021
Předmět:	Fixed point Common fixed point Fractional differential equation Mathematics QA1-939
Zdroj:	Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-23 (2021)
Druh dokumentu:	article
ISSN:	1687-1847
DOI:	10.1186/s13662-021-03660-x
Popis:	Abstract In this work, we investigate h-ϕ contraction mappings with two metrics endowed with a directed graph which involve auxiliary functions. The achievement allows us to obtain applications for the existence of the solutions for Caputo fractional boundary value problems with the integral boundary condition type. In addition, we also give examples and numerical experiments supporting our main results.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/0a2167afdcb84e1b8418c2ad42a763d8 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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